Skip to main content

AVERAGE, RATIO, & PERCENTAGE IN MATHEMATICS

 

What is the Average in Mathematics?

The average, also known as the arithmetic mean, is calculated in math by adding a group of numbers and then dividing by their count. The middle value, which is determined by dividing the sum of all the values by the number of values, is the average value in a set of numbers. 

At the point when we really want to find the normal of a bunch of information, we include every one of the qualities and afterward partition this all out by the number of values. Averages fall into three broad categories: mode, mean, and median Each of these methods works in a slightly different way and frequently produces typical values that are slightly different. 

The average that is used the most often is the mean. Divide the sum of all the values by the number of them to get the mean value. 


 What is the Formula for Average?

The mathematical expression for the general average is Average = {Sum of all the quantities (numbers)} ÷ {Total number of quantities (numbers)}.  Let's look at an example to see how it's used.

Example: Babar Azam has respectively scored 45, 68, 78, 105, & 80 runs in his last 5 innings. Find the average score of Babar Azam in his last five innings.

Solution: 

Average = {Sum of all the quantities (numbers)} ÷ {Total number of quantities (numbers)}

Average = {45+68+78+105+80} ÷ {5}
= {376} ÷ {5}
= 75.2 Ans


Difference between the Median & Average

We already know that to find the average, the sum of all the individual values is divided by the number of given quantities/values/numbers. However, to find the median, the "middle" value, which is the value for which half of the quantities/values/numbers are larger and half are smaller, is used to determine the median. 
Example: 

Median = {45+68+105+80} ÷ {78}
= {298} ÷ {78}
= 3.82 Ans


What is the Ratio in Maths?

A ratio is an ordered pair of a and b, written as a:b or (a / b), where b does not equal zero. An equation in which two ratios are set to be equal to one another is called a proportion. If there are five bananas and ten oranges, for instance, you could write the ratio as 5:10. Like fractions, ratios can be fully simplified. Divide all of the numbers in a ratio by the same number until they can no longer be divided to simplify it.

The ratio, in layman's terms, is the number that can be used to express one quantity as a fraction of the others. A ratio can only be compared between two numbers with the same unit. To compare two things, we use ratios. Colon (:) is used as a symbol of ratio and it also means division (÷).

Similarly, five types of financial ratio analysis are frequently used: ratios of earnings, solvency, liquidity, turnover, and profitability.  Let's look at an example to see how ratios are found. 


Example: Find the ratio between 5 bananas and 10 oranges.

Solution: 

Ratio =  a:b or a/b 
         =  5/10
         =  1/2 or (1:2) Ans


What is the Percentage in Maths?

A number or ratio in math that can be expressed as a fraction of 100 is called a percentage. Divide the number by its whole number and then multiply it by 100 if we have to figure out the percentage of that number. Consequently, the percentage represents one part per hundred. Per 100 is what the word "percent" means. 

For instance, if Raja Bahar got 75% on a written test, that means he got 75 out of 100 points. In terms of a ratio, it is written as 75:100 rather than 75/100. The percentage is denoted by %.  

Example 1: What would be the 20% 0f 25?

Solution: 

20% of 25 can be written as 20% × 25

= 20/100 × 25

= 5 Ans

Example 2: Abdul Basit secures 950 marks out of 1100. Find what percentage of marks Abdul Basit has secured?

Solution: 

950 marks out of 1100 can be written as 950/1100 × %

= 950/1100 × 100

= 86.36% Ans


Also Read 



Labels:

Comments

Post a Comment

Popular posts from this blog

School, Community, and Teacher (B.Ed Honours Course)

School, Community, & Teacher  (SCT) in the Context of Teacher Education (B.Ed Honours Course) Background The triad of school, community, and teacher (SCT) forms a critical intersection within the educational landscape, creating an integrated ecosystem essential for fostering a healthy and sustainable teaching and learning environment . In the realm of teacher education, the terms school, teacher, and community carry multifaceted meanings that vary depending on contextual factors. To fully comprehend the overarching goals and objectives of teacher education, it is imperative to explore the synergies and intersections inherent in this SCT framework. In this discussion, we will examine each component of the SCT triad in detail, while also considering related concepts that enrich our understanding of this complex interplay. By unpacking these terms, we aim to illuminate their significance and the ways in which they collectively contribute to a robust educational experience. The sch...
Post a Comment
Read more

SWOT Analysis within the Context of Education

 SWOT Analysis in Education for Curriculum Development, Classroom Management, and Planning Introduction   It was the Stanford Research Institute (SRI) which coined the term SWOT Analysis during the 1960s. Initially, the term was used for business management consultancy but later on, researchers and professionals started using it in different fields mainly for planning purposes. SWOT  analysis is a strategic planning tool or a framework which is used to identify and evaluate the Strengths, Weaknesses, Opportunities, and Threats related to an organization or a specific project including setting its standing operating procedures (SOPs).  It is widely used in business studies, politics, strategic military planning, think tanks, policy-making, international relations, socio-economic as well as socio-political dimensions, and education etc. Similarly, in the context of education, SWOT analysis provides a very comprehensive framework for assessing various aspects of educat...
Post a Comment
Read more

Social Media Literacy and Educational Approaches in the 21st Century Teaching & Learning Context: B.Ed Honours Course Content

Social Media Literacy & Modes of Education in 21st Century (B.Ed Honours) Course Content Introduction The term social media refers to the digital interaction among different social groups. One of the most integral aspects of human life in the 21st century is social media, and it has significantly transformed how individuals communicate, interact, and gain information. Social media has opened the door to new opportunities for learning and information sharing including diverse challenges for teachers and learners in the process of teaching and learning.  In less advanced countries like Pakistan, teachers are still reluctant to use social media platforms while teaching because they lack certain skills to use different social media platforms effectively. As a result of it, such teachers rely on outdated traditional methods of teaching. On the other hand, many students believe that the purpose of social media use is just for entertainment and informal interaction with digital friend...
Post a Comment
Read more